Header Ads

The sum of two numbers is 384 and their HCF is 48. What is the difference between the two numbers?

 The sum of two numbers is 384 and their HCF is 48. What is the difference between the two numbers?


दो संख्याओं का योग 384 है और उनका HCF 48 है। दोनों संख्याओं में क्या अंतर है?

Indian Army


  Answer :- 
Let the numbers be x and y.
Since the HCF is 48 , therefore
48x+ 48y=384
=> 48(x+y)=384
=> x+y = 384/48 = 8
Now ,
Either ,
x+y=7+1
and
48*7+48*1=384
the difference is 48x-48y = 48*7–48=288
or
x+y = 5+3
48*5+48*3=384
and the difference is 48x-48y = 48*5–48*3 = 96.



Post a Comment

0 Comments